What is (\partial)/(\partial y)(e^x*sin(y)) ?

The answer to (\partial)/(\partial y)(e^x*sin(y)) is e^xcos(y)

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(\partial)/(\partial y)(e^x*sin(y))

\frac{\partial}{\partial y} (e^{x} \cdot sin (y))

e^{x} cos (y)

Solution steps

\frac{\partial}{\partial y} (e^{x} sin (y))

Treat

x

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= e^{x} \frac{\partial}{\partial y} (sin (y))

Apply the common derivative:

\frac{\partial}{\partial y} (sin (y)) = cos (y)

= e^{x} cos (y)

\int sin (t) 1 + cos (t) d t

f (x) = \frac{x}{x + 5}, at x = 4

(3, 5), (- 1, 5)

\int_{0}^{4} x x d x

\frac{d}{d x} (4 e^{x} sin (x))

What is (\partial)/(\partial y)(e^x*sin(y)) ?
The answer to (\partial)/(\partial y)(e^x*sin(y)) is e^xcos(y)